de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Funktionen >

extreme f(x)=-x^4+6x^2-4

Lösung

extrempunkte

f (x) = - x^{4} + 6 x^{2} - 4

Lösung

Maximum (- 3, 5), Minimum (0, - 4), Maximum (3, 5)

Schritte zur Lösung

f^{'} (x) = - 4 x^{3} + 12 x

Intervalle finden:

Ansteigend

: - \infty < x < - 3,

Absteigend

: - 3 < x < 0,

Ansteigend

: 0 < x < 3,

Absteigend

: 3 < x < \infty

Stecke

x = - 3

in

- x^{4} + 6 x^{2} - 4 : 5

Maximum (- 3, 5)

Stecke

x = 0

in

- x^{4} + 6 x^{2} - 4 : - 4

Minimum (0, - 4)

Stecke

x = 3

in

- x^{4} + 6 x^{2} - 4 : 5

Maximum (3, 5)

Maximum (- 3, 5), Minimum (0, - 4), Maximum (3, 5)

Graph

Beliebte Beispiele

extreme f(x,y)=x^3+3xy^2-15x-12y

e x t re m e f (x, y) = x^{3} + 3 x y^{2} - 15 x - 12 y

extreme f(x)=sqrt(1-x^2-y^2)

e x t re m e f (x) = 1 - x^{2} - y^{2}

extreme f(x,y)=x^2-y^2sqrt(1-x^2-y^2)

e x t re m e f (x, y) = x^{2} - y^{2} 1 - x^{2} - y^{2}

extreme f(x)=x^2+y^2+5

e x t re m e f (x) = x^{2} + y^{2} + 5

extreme x^3-3x^2+1

e x t re m e x^{3} - 3 x^{2} + 1